Density fluctuations for a zero-range process on the percolation cluster

Abstract

We prove that the density fluctuations for a zero-range process evolving on the supercritical percolation cluster are given by a generalized Ornstein-Uhlenbeck process in the space of distributions $\mc S'(\bb R^d)$.

13 pages, no figures

References in corpus (4)

• Quenched invariance principle for simple random walk on percolation clusters
• Scaling limits for gradient systems in random environment
• Random walks and exclusion processes among random conductances on random infinite clusters: homogenization and hydrodynamic limit
• Hydrodynamic limit of zero range processes among random conductances on the supercritical percolation cluster